Re: Closed Strings, World-sheets, and Stoke's Theorem

Posted by Mike2 on September 29, 2003 at 19:11:14:

In Reply to: Re: Closed Strings, World-sheets, and Stoke's Theorem posted by DickT on September 29, 2003 at 11:27:01:

Ya... that all sounds familiar.

As I recall, correct me if I'm wrong please, The surface is a geodesic, always traveling where the gradient is zero, along the path of least resistance, at least in the classical view.

Is this why certain quantities are conserved from the string on one end of the world-sheet to the string on the other end? The tension along the string is integrated along the string to give that mass/energy of the particle, and since the surface travels along a path perpendicular to the gradient, there is no change in this calculation of energy.

Does the energy of a string change if the surface of the world-sheet deviating from the path of least resistance? Intuitively, you might think that it takes energy to push this surface from the path of least resistance. Does the process of deviation imply a curl that one could only associate with the interaction of another string?

Food for thought,

Mike.

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Follow Ups: (Reload page to see most recent)

• Re: Closed Strings, World-sheets, and Stoke's Theorem -- DickT 9/30/03 (3)
  • Re: Closed Strings, World-sheets, and Stoke's Theorem -- Mike2 9/30/03 (2)
    • Re: Closed Strings, World-sheets, and Stoke's Theorem -- DickT 9/30/03 (1)
      • Re: Closed Strings, World-sheets, and Stoke's Theorem -- Mike2 9/30/03 (0)

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